541632583296 has 896 divisors, whose sum is σ = 1993262653440. Its totient is φ = 143125678080.

The previous prime is 541632583291. The next prime is 541632583309. The reversal of 541632583296 is 692385236145.

It is a happy number.

541632583296 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 32 + 583 + 29 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (541632583291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 465719611 + ... + 465720773.

Almost surely, 2^541632583296 is an apocalyptic number.

541632583296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541632583296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996631326720).

541632583296 is an abundant number, since it is smaller than the sum of its proper divisors (1451630070144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541632583296 is a wasteful number, since it uses less digits than its factorization.

541632583296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1229 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 541632583296 in words is "five hundred forty-one billion, six hundred thirty-two million, five hundred eighty-three thousand, two hundred ninety-six".